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Finding the Third Proportional to 27,324 and 38,656

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Solution

The third proportional to 27,324 and 38,656 is: 54,687.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,324 : 38,656 = 38,656 : x
  2. Step 2: Convert to fraction form
    27,324/38,656 = 38,656/x
  3. Step 3: Cross multiply
    27,324x = 38,656 × 38,656
  4. Step 4: Simplify right side
    27,324x = 1,494,286,336
  5. Step 5: Solve for x
    x = 1,494,286,336/27,324
  6. Step 6: Final answer
    x = 54,687.69

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.